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  1. Article ; Online: Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation  in a nonlinear Klein-Gordon model.

    Sedletsky, Yu V / Gandzha, I S

    Physical review. E

    2023  Volume 106, Issue 6-1, Page(s) 64212

    Abstract: We derive an extended cubic-quintic nonlinear Schrödinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinear dispersion relation to properly take into account the input of high- ... ...

    Abstract We derive an extended cubic-quintic nonlinear Schrödinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinear dispersion relation to properly take into account the input of high-order nonlinear effects in the Hamiltonian perturbation approach to nonlinear modulation. We demonstrate that changing the balance between the cubic and quintic nonlinearities has a significant effect on the stability of unmodulated wave packets to long-wave modulations.
    Language English
    Publishing date 2023-01-16
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.106.064212
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Relationship between the Hamiltonian and non-Hamiltonian forms of a fourth-order nonlinear Schrödinger equation.

    Sedletsky, Yu V / Gandzha, I S

    Physical review. E

    2020  Volume 102, Issue 2-1, Page(s) 22202

    Abstract: We show the equivalence between the Hamiltonian and non-Hamiltonian forms of a fourth-order nonlinear Schrödinger equation for a particular example of the physical system described by the nonlinear Klein-Gordon equation with cubic nonlinearity. ...

    Abstract We show the equivalence between the Hamiltonian and non-Hamiltonian forms of a fourth-order nonlinear Schrödinger equation for a particular example of the physical system described by the nonlinear Klein-Gordon equation with cubic nonlinearity.
    Language English
    Publishing date 2020-09-18
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.102.022202
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article: A toy model for the epidemic-driven collapse in a system with limited economic resource.

    Gandzha, I S / Kliushnichenko, O V / Lukyanets, S P

    The European physical journal. B

    2021  Volume 94, Issue 4, Page(s) 90

    Language English
    Publishing date 2021-04-28
    Publishing country France
    Document type Journal Article
    ZDB-ID 1459068-2
    ISSN 1434-6036 ; 1434-6028
    ISSN (online) 1434-6036
    ISSN 1434-6028
    DOI 10.1140/epjb/s10051-021-00099-7
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Article: Modeling and controlling the spread of epidemic with various social and economic scenarios.

    Gandzha, I S / Kliushnichenko, O V / Lukyanets, S P

    Chaos, solitons, and fractals

    2021  Volume 148, Page(s) 111046

    Abstract: We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe various scenarios ... ...

    Abstract We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe various scenarios of epidemic spreading. As compared to the basic SIR model, our model takes into account two possible routes of contagion transmission: direct from the infected compartment to the susceptible compartment and indirect via some intermediate medium or fomites. Transmission rates are estimated in terms of average distances between the individuals in selected social environments and characteristic time spans for which the individuals stay in each of these environments. We also introduce a collective economic resource associated with the average amount of money or income per individual to describe the socioeconomic interplay between the spreading process and the resource available to infected individuals. The epidemic-resource coupling is supposed to be of activation type, with the recovery rate governed by the Arrhenius-like law. Our model brings an advantage of building various control strategies to mitigate the effect of epidemic and can be applied, in particular, to modeling the spread of COVID-19.
    Language English
    Publishing date 2021-06-03
    Publishing country England
    Document type Journal Article
    ZDB-ID 2003919-0
    ISSN 1873-2887 ; 0960-0779
    ISSN (online) 1873-2887
    ISSN 0960-0779
    DOI 10.1016/j.chaos.2021.111046
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  5. Article: The Epidemic-Driven Collapse in a System with Limited Economic Resource

    Gandzha, I. S. / Kliushnichenko, O. V. / Lukyanets, S. P.

    Abstract: We consider a possibility of socioeconomic collapse caused by the spread of epidemic in a basic dynamical model with negative feedback between the infected population size and a formal collective economic resource. The epidemic-resource coupling is ... ...

    Abstract We consider a possibility of socioeconomic collapse caused by the spread of epidemic in a basic dynamical model with negative feedback between the infected population size and a formal collective economic resource. The epidemic-resource coupling is supposed to be of activation type, with the recovery rate governed by the Arrhenius-like law and resource playing the role of temperature. Such a coupling can result in the collapsing effect opposite to thermal explosion because of the limited resource. In this case, the system can no longer stabilize and return to the stable pre- or post-epidemic states. We demonstrate that such a collapse can partially be mitigated by means of a negative resource or debt.
    Keywords covid19
    Publisher ArXiv
    Document type Article
    Database COVID19

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  6. Article: The Epidemic-Driven Collapse in a System with Limited Economic Resource

    Lukyanets, S. P. / Gandzha, I. S. / Kliushnychenko, O. V.

    Abstract: We consider the possibility of social and economical collapse of population caused by epidemics. We exploit a simplest toy model with negative feedback for the dynamics of epidemic spreading in population with its mutual influence on some formal resource ...

    Abstract We consider the possibility of social and economical collapse of population caused by epidemics. We exploit a simplest toy model with negative feedback for the dynamics of epidemic spreading in population with its mutual influence on some formal resource (economical, financial, etc). For epidemics spreading we use the simple SIS model, supplemented with the simplest equation for the dynamics of the resource whose generation is determined by the active labor resource. We note that the patient's characteristic rehabilitation rate or recovery time depends on the cost of health services, cost of the bare subsistence level of consumption, $E$, and the availability of some formal resource $\rho$, e.g. money. Since the cost of services is fixed, the service is terminated if there is not enough personal, private, or collective financial resource $\rho\ll E$, the service is absent. Therefore, we suppose that recovery rate should have an activation character $\sim\exp(-E/\rho)$. We show that depending on the rate of epidemics spreading and on the availability of formal resource, the system can come back to normal life, can overcome the stress or move to another stable but more"poor"state. Otherwise, the system can collapse. While collapsing, the system can pass through a number of quasi-stable states, its dynamics being resembling the so-called devil's staircase.
    Keywords covid19
    Publisher ArXiv
    Document type Article
    Database COVID19

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  7. Article: Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios

    Lukyanets, S. P. / Gandzha, I. S. / Kliushnychenko, O. V.

    Abstract: We propose a novel model for describing the spreading processes, in particular, epidemics. Our model is an extension of the SIQR (susceptible-infected-quarantine-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to ... ...

    Abstract We propose a novel model for describing the spreading processes, in particular, epidemics. Our model is an extension of the SIQR (susceptible-infected-quarantine-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe various scenarios of epidemic spread. As compared to the basic SIR model, our model takes into account two possible routes of virus transmission: direct from the infected compartment to the susceptible compartment and indirect via some intermediate medium or fomites. The transmission rates are estimated in terms of the average distances between the individuals in selected social environments and characteristic relaxation times. We also introduce a resource activation function that reflects the load of the epidemics on economics and the limited capacity of the medical infrastructure. Our model brings an advantage of building various control strategies to minimize the effect of the epidemic and can be applied to modeling the recent COVID-19 outbreak.
    Keywords covid19
    Publisher ArXiv
    Document type Article
    Database COVID19

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  8. Book ; Online: Fractional Fourier approximations for potential gravity waves on deep water

    Lukomsky, V. P. / Gandzha, I. S.

    eISSN: 1607-7946

    2018  

    Abstract: In the framework of the canonical model of hydrodynamics, where fluid is assumed to be ideal and incompressible, waves are potential, two-dimensional, and symmetric, the authors have recently reported the existence of a new type of gravity waves on deep ... ...

    Abstract In the framework of the canonical model of hydrodynamics, where fluid is assumed to be ideal and incompressible, waves are potential, two-dimensional, and symmetric, the authors have recently reported the existence of a new type of gravity waves on deep water besides well studied Stokes waves (Lukomsky et al., 2002b). The distinctive feature of these waves is that horizontal water velocities in the wave crests exceed the speed of the crests themselves. Such waves were found to describe irregular flows with stagnation point inside the flow domain and discontinuous streamlines near the wave crests. In the present work, a new highly efficient method for computing steady potential gravity waves on deep water is proposed to examine the character of singularity of irregular flows in more detail. The method is based on the truncated fractional approximations for the velocity potential in terms of the basis functions 1/(1 - exp( y 0 - y - ix )) n , y 0 being a free parameter. The non-linear transformation of the horizontal scale x = c - g sin c, 0 < g < 1, is additionally applied to concentrate a numerical emphasis on the crest region of a wave for accelerating the convergence of the series. For lesser computational time, the advantage in accuracy over ordinary Fourier expansions in terms of the basis functions exp( n ( y + ix )) was found to be from one to ten decimal orders for steep Stokes waves and up to one decimal digit for irregular flows. The data obtained supports the following conjecture: irregular waves to all appearance represent a family of sharp-crested waves like the limiting Stokes wave but of lesser amplitude.
    Subject code 551 ; 532
    Language English
    Publishing date 2018-01-15
    Publishing country de
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  9. Book ; Online: Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios

    Lukyanets, S. P. / Gandzha, I. S. / Kliushnichenko, O. V.

    2020  

    Abstract: We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe various scenarios ... ...

    Abstract We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe various scenarios of epidemic spreading. As compared to the basic SIR model, our model takes into account two possible routes of contagion transmission: direct from the infected compartment to the susceptible compartment and indirect via some intermediate medium or fomites. Transmission rates are estimated in terms of average distances between the individuals in selected social environments and characteristic time spans for which the individuals stay in each of these environments. We also introduce a collective economic resource associated with the average amount of money or income per individual to describe the socioeconomic interplay between the spreading process and the resource available to infected individuals. The epidemic-resource coupling is supposed to be of activation type, with the recovery rate governed by the Arrhenius-like law. Our model brings an advantage of building various control strategies to mitigate the effect of epidemic and can be applied, in particular, to modeling the spread of COVID-19.

    Comment: 14 pages, 6 figures, 5 tables
    Keywords Physics - Physics and Society ; Economics - General Economics ; Quantitative Biology - Populations and Evolution ; covid19
    Subject code 612
    Publishing date 2020-06-12
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  10. Article: Vliianie gemosorbtsii na nekotorye pokazateli immuniteta u bol'nykh s allergicheskimi i autoimmunnymi zabolevaniiami.

    Lysenko, G I / Gandzha, I M

    Vrachebnoe delo

    1984  , Issue 6, Page(s) 49–54

    Title translation Effect of hemosorption on various indicators of immunity in patients with allergic and autoimmune diseases.
    MeSH term(s) Adult ; Antibody Formation ; Asthma/immunology ; Autoimmune Diseases/immunology ; Collagen Diseases/immunology ; Female ; Hemoperfusion ; Humans ; Male ; Middle Aged ; Rosette Formation ; T-Lymphocytes, Regulatory/immunology
    Language Russian
    Publishing date 1984-06
    Publishing country Ukraine
    Document type English Abstract ; Journal Article
    ZDB-ID 40876-1
    ISSN 0049-6804
    ISSN 0049-6804
    Database MEDical Literature Analysis and Retrieval System OnLINE

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